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Finding the Fourth Proportional to 189,014.89, 283,423.88 and 89,148.26

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Solution

The fourth proportional to 189,014.89, 283,423.88 and 89,148.26 is: 133,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,014.89 : 283,423.88 = 89,148.26 : x
  2. Step 2: Convert to fraction form
    189,014.89/283,423.88 = 89,148.26/x
  3. Step 3: Cross multiply
    189,014.89x = 283,423.88 × 89,148.26
  4. Step 4: Simplify right side
    189,014.89x = 25,266,744,590.15
  5. Step 5: Solve for x
    x = 25,266,744,590.15/189,014.89
  6. Step 6: Final answer
    x = 133,675.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.